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64227072 = 283713919
BaseRepresentation
bin1111010100000…
…0011100000000
311110212001222110
43311000130000
5112420231242
610212335320
71406630640
oct365003400
9143761873
1064227072
1133288828
1219614540
13103c9cb0
14875c520
15598a39c
hex3d40700

64227072 has 144 divisors (see below), whose sum is σ = 210613760. Its totient is φ = 16920576.

The previous prime is 64227061. The next prime is 64227101. The reversal of 64227072 is 27072246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69429 + ... + 70347.

Almost surely, 264227072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105306880).

64227072 is an abundant number, since it is smaller than the sum of its proper divisors (146386688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64227072 is a wasteful number, since it uses less digits than its factorization.

64227072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 64227072 is about 8014.1794339783. The cubic root of 64227072 is about 400.4725082867.

The spelling of 64227072 in words is "sixty-four million, two hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 919 1092 1248 1344 1456 1664 1792 1838 2184 2496 2688 2757 2912 3328 3676 4368 4992 5376 5514 5824 6433 7352 8736 9984 11028 11648 11947 12866 14704 17472 19299 22056 23296 23894 25732 29408 34944 35841 38598 44112 47788 51464 58816 69888 71682 77196 83629 88224 95576 102928 117632 143364 154392 167258 176448 191152 205856 235264 250887 286728 308784 334516 352896 382304 411712 501774 573456 617568 669032 705792 764608 823424 1003548 1146912 1235136 1338064 1529216 1646848 2007096 2293824 2470272 2676128 3058432 4014192 4587648 4940544 5352256 8028384 9175296 10704512 16056768 21409024 32113536 64227072